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Double-Diffusive Fingering in Porous Media

Laboratory experiments were conducted on a double-diffusive fluid with components of dissolved salt and sucrose contained within a porous medium of nearly spherical glass beads. The fluid is stabilized by the faster diffuser (Sa) and destabilized by the slower diffuser (Su) arranged in such a way so that the system is finger-favorable. The experiments were conducted in a tank of depth 30 cm, with initial vertical opposing linear profiles of Sa and Su between two reservoirs, the top containing a Su solution and the bottom a Sa solution of known values. Measurements show that the Rayleigh-Darcy number experimental range is up to |Rsa|~10^5 and density ratio ranges from Rrho= 1.1 to 1.4 with spherical bead range of d = 0.01 to 0.80 cm. The finger flux for salt was Fsa~CRsa^a with a = 0.17 to 0.25 and was Fsu~CRsu^b with b = 0.12 to 0.14 for sugar. The spacing of the fingers was measured and non-dimensionalized using the height of the test reservoir. The non-dimensional spacing lambda was found to be related to the salt Rayleigh-Darcy number lambda~Rsa^m with m = -0.31 for glass bead size d = 0.05 cm and m = -0.55 for d = 0.10 cm and related to the sucrose Rayleigh-Darcy number lambda~Rsu^n with n = -0.41 for d = 0.05 cm and n = -0.69 for d = 0.10 cm, compared to the prediction of lambda~Rsa^0.5 from linear theory. / A Dissertation Submitted to the Geophysical Fluid Dynamics Institute in Partial
Fulfillment of the Requirements for the Degree of Doctor of Philosophy. / Fall Semester, 2007. / April 3, 2007. / Convection, Double Diffusion, Fingering / Includes bibliographical references. / Ruby Krishnamurti, Professor Directing Dissertation; James F. Tull, Outside Committee Member; Georges Weatherly, Committee Member; Jennifer Georgen, Committee Member.
ContributorsWerner, Christopher L. (Christopher Lee), 1969- (authoraut), Krishnamurti, Ruby (professor directing dissertation), Tull, James F. (outside committee member), Weatherly, Georges (committee member), Georgen, Jennifer (committee member), Program in Geophysical Fluid Dynamics (degree granting department), Florida State University (degree granting institution)
PublisherFlorida State University, Florida State University
Source SetsFlorida State University
LanguageEnglish, English
Detected LanguageEnglish
TypeText, text
Format1 online resource, computer, application/pdf
RightsThis Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s). The copyright in theses and dissertations completed at Florida State University is held by the students who author them.

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